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Finding the Fourth Proportional to 119,237.76, 164,500.92 and 76,821

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Solution

The fourth proportional to 119,237.76, 164,500.92 and 76,821 is: 105,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,237.76 : 164,500.92 = 76,821 : x
  2. Step 2: Convert to fraction form
    119,237.76/164,500.92 = 76,821/x
  3. Step 3: Cross multiply
    119,237.76x = 164,500.92 × 76,821
  4. Step 4: Simplify right side
    119,237.76x = 12,637,125,175.32
  5. Step 5: Solve for x
    x = 12,637,125,175.32/119,237.76
  6. Step 6: Final answer
    x = 105,982.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.